2834722240 has 224 divisors, whose sum is σ = 7947233280. Its totient is φ = 943128576.

The previous prime is 2834722199. The next prime is 2834722249. The reversal of 2834722240 is 422274382.

2834722240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 2834722196 and 2834722205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2834722249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14687584 + ... + 14687776.

It is an arithmetic number, because the mean of its divisors is an integer number (35478720).

Almost surely, 2^2834722240 is an apocalyptic number.

2834722240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2834722240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3973616640).

2834722240 is an abundant number, since it is smaller than the sum of its proper divisors (5112511040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2834722240 is a wasteful number, since it uses less digits than its factorization.

2834722240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 34.

The square root of 2834722240 is about 53242.1096501632. The cubic root of 2834722240 is about 1415.2619708330.

The spelling of 2834722240 in words is "two billion, eight hundred thirty-four million, seven hundred twenty-two thousand, two hundred forty".